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The rate of change of an autocatalytic chemical reaction is kQxkx2 where Q is the amount of the original substance, x is the amount of substance formed, and k is a constant of proportionality. Factor the expression.
Minimizing cost A company that produces and sells digital cameras has determined that the total weekly cost C(x), in dollars of producing x digital cameras is given by the function C(x)=1.5x2144x+5856. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.
For the fallowing exercises, find the x- and y-intercepts of the graphs of each function. f(x)=4x3+4
Describe the end behavior of each polynomial. (a) y=x38x2+2x15 End behavior: y as x y as x (b) y=2x4+12x+100 End behavior: y as x y as x
How does the graph of the absolute value function compare to the graph of the quadratic function, y=x2 , in terms of increasing and decreasing intervals?
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